Answer:
9t^2+(t+2)^2
Step-by-Step:
t is 9 X t, or the product of 9 and t. ^2 is squared while + is increased t+2 is the sum of t and t. the ^2 after the parenthesis is indicating the "square of t and 2"
Step-by-step explanation:
-k + 4(k + 1) = 2k
-k + 4k + 4 = 2k
-k + 4k - 2k = -4
(-1 + 4 - 2)k = -4
k = -4
Answer:
=13.73 ft²
Step-by-step explanation:
The diameter of the largest possible circle that can be cut out of a square is equal to the length of the side of the square.
Therefore the diameter of the circle cut from a square of side 8ft =8ft
r=4ft
Area of the remaining board= Area of square- area of circle
=side²-πr²
=8²-π×4²
=64-16π
=13.73 ft²
Answer:
use d e s m o s it helps with calculations and stuff
Step-by-step explanation:
![\frac{1}{2} \int\limits^{\frac{\pi}{5}} _0 {(3\ sin(5\theta))^2} \, d\theta\\\\ =\frac{9}{4} \int\limits^{\frac{\pi}{5}} _0 {(1-cos(10\theta))} \, d\theta\\\\ =\frac{9}{4} [\theta-\frac{sin(10\theta)}{10}]^\frac{\pi}{5}} _0 \\\\ =\frac{9\pi}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%5Cint%5Climits%5E%7B%5Cfrac%7B%5Cpi%7D%7B5%7D%7D%20_0%20%7B%283%5C%20sin%285%5Ctheta%29%29%5E2%7D%20%5C%2C%20d%5Ctheta%5C%5C%5C%5C%0A%3D%5Cfrac%7B9%7D%7B4%7D%20%5Cint%5Climits%5E%7B%5Cfrac%7B%5Cpi%7D%7B5%7D%7D%20_0%20%7B%281-cos%2810%5Ctheta%29%29%7D%20%5C%2C%20d%5Ctheta%5C%5C%5C%5C%0A%3D%5Cfrac%7B9%7D%7B4%7D%20%5B%5Ctheta-%5Cfrac%7Bsin%2810%5Ctheta%29%7D%7B10%7D%5D%5E%5Cfrac%7B%5Cpi%7D%7B5%7D%7D%20_0%20%5C%5C%5C%5C%0A%3D%5Cfrac%7B9%5Cpi%7D%7B20%7D)
